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Simplifying 5(2x + 2) + x = 2(3x + -1) + 12 Reorder the terms: 5(2 + 2x) + x = 2(3x + -1) + 12 (2 * 5 + 2x * 5) + x = 2(3x + -1) + 12 (10 + 10x) + x = 2(3x + -1) + 12 Combine like terms: 10x + x = 11x 10 + 11x = 2(3x + -1) + 12 Reorder the terms: 10 + 11x = 2(-1 + 3x) + 12 10 + 11x = (-1 * 2 + 3x * 2) + 12 10 + 11x = (-2 + 6x) + 12 Reorder the terms: 10 + 11x = -2 + 12 + 6x Combine like terms: -2 + 12 = 10 10 + 11x = 10 + 6x Add '-10' to each side of the equation. 10 + -10 + 11x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 0 + 11x = 10 + -10 + 6x 11x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 11x = 0 + 6x 11x = 6x Solving 11x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11x + -6x = 6x + -6x Combine like terms: 11x + -6x = 5x 5x = 6x + -6x Combine like terms: 6x + -6x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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